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Finding the Fourth Proportional to 310.64, 466.38 and 180.77

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Solution

The fourth proportional to 310.64, 466.38 and 180.77 is: 271.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.64 : 466.38 = 180.77 : x
  2. Step 2: Convert to fraction form
    310.64/466.38 = 180.77/x
  3. Step 3: Cross multiply
    310.64x = 466.38 × 180.77
  4. Step 4: Simplify right side
    310.64x = 84,307.51
  5. Step 5: Solve for x
    x = 84,307.51/310.64
  6. Step 6: Final answer
    x = 271.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.